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Finding the Third Proportional to 112,837 and 175,282.63

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Solution

The third proportional to 112,837 and 175,282.63 is: 272,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,837 : 175,282.63 = 175,282.63 : x
  2. Step 2: Convert to fraction form
    112,837/175,282.63 = 175,282.63/x
  3. Step 3: Cross multiply
    112,837x = 175,282.63 × 175,282.63
  4. Step 4: Simplify right side
    112,837x = 30,723,998,626.89
  5. Step 5: Solve for x
    x = 30,723,998,626.89/112,837
  6. Step 6: Final answer
    x = 272,286.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.